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Finding the Third Proportional to 38,125.50 and 54,472.50

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Solution

The third proportional to 38,125.50 and 54,472.50 is: 77,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125.50 : 54,472.50 = 54,472.50 : x
  2. Step 2: Convert to fraction form
    38,125.50/54,472.50 = 54,472.50/x
  3. Step 3: Cross multiply
    38,125.50x = 54,472.50 × 54,472.50
  4. Step 4: Simplify right side
    38,125.50x = 2,967,253,256.25
  5. Step 5: Solve for x
    x = 2,967,253,256.25/38,125.50
  6. Step 6: Final answer
    x = 77,828.57

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.